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JAMB Mathematics 1988 Question 12

Question 12

Algebraic Expressions

Simplify
(x + 2)/(x + 1) − (x − 2)/(x + 2)

  1. A.3/(x + 1)
  2. B.(3x + 2)/((x + 1)(x + 2))
  3. C.(5x + 6)/((x + 1)(x + 2))
  4. D.(2x2 + 5x + 2)/((x + 1)(x + 2))
Show the answer and explanation

Answer: C ((5x + 6)/((x + 1)(x + 2)))

Explanation

Over the common denominator (x + 1)(x + 2), the top is (x + 2)² − (x − 2)(x + 1) = x² + 4x + 4 − (x² − x − 2) = 5x + 6.